Solve 30*12/9*27/20:9

$$30 \cdot \frac { 12 } { 9 } \cdot \frac { 27 } { 20 } : 9$$

Evaluate

$$6$$

Solution Steps

Reduce the fraction \frac{12}{9} to lowest terms by extracting and canceling out 3.

$$\frac{30\times \frac{4}{3}\times \frac{27}{20}}{9}$$

Express 30\times \frac{4}{3} as a single fraction.

$$\frac{\frac{30\times 4}{3}\times \frac{27}{20}}{9}$$

Multiply 30 and 4 to get 120.

$$\frac{\frac{120}{3}\times \frac{27}{20}}{9}$$

Divide 120 by 3 to get 40.

$$\frac{40\times \frac{27}{20}}{9}$$

Express 40\times \frac{27}{20} as a single fraction.

$$\frac{\frac{40\times 27}{20}}{9}$$

Multiply 40 and 27 to get 1080.

$$\frac{\frac{1080}{20}}{9}$$

Divide 1080 by 20 to get 54.

$$\frac{54}{9}$$

Divide 54 by 9 to get 6.

$$6$$

Factor

$$2\times 3$$